10100112202101 has 4 divisors (see below), whose sum is σ = 13466816269472. Its totient is φ = 6733408134732.

The previous prime is 10100112202093. The next prime is 10100112202157. The reversal of 10100112202101 is 10120221100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10100112202101 - 2³ = 10100112202093 is a prime.

It is a super-2 number, since 2×10100112202101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112202601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683352033681 + ... + 1683352033686.

It is an arithmetic number, because the mean of its divisors is an integer number (3366704067368).

Almost surely, 2^{10100112202101} is an apocalyptic number.

It is an amenable number.

10100112202101 is a deficient number, since it is larger than the sum of its proper divisors (3366704067371).

10100112202101 is an equidigital number, since it uses as much as digits as its factorization.

10100112202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366704067370.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100112202101 its reverse (10120221100101), we get a palindrome (20220333302202).

The spelling of 10100112202101 in words is "ten trillion, one hundred billion, one hundred twelve million, two hundred two thousand, one hundred one".